Geodesic
Some uniform estimates for the transition density of a Brownian motion on a Carnot group and their application to local times
Teoriâ slučajnyh processov, Tome 19 (2014) no. 1, pp. 62-90.

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For a specific Brownian motion on a Carnot group several estimates for its transition density are established, which are uniform w.r.t. external parameter. These estimates can be used for studying functionals of any Brownian motion on a Carnot group. As an application we show the existence of the renormalized local time for the increments of Levy area. This result has a lot in common with the well-known existence of the renormalized self-intersection local time for two-dimensional Brownian motion.
Keywords: Brownian motion on Carnot group, local time, Levy area.
Mots-clés : Hormander condition 
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A. V. Rudenko. Some uniform estimates for the transition density of a Brownian motion on a Carnot group and their application to local times. Teoriâ slučajnyh processov, Tome 19 (2014) no. 1, pp. 62-90. http://geodesic.mathdoc.fr/item/THSP_2014_19_1_a6/

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